论文标题

狮子类型存在结果的另一个证明

Another proof of a Lions type existence result

论文作者

Boucheche, Zakaria

论文摘要

本文涉及涉及关键Sobolev生长和低阶项的非线性椭圆方程。在狮子的状况下,我们证明了至少一个积极解决方案的存在。我们的方法在于为相关的变异问题构建一个相对紧凑的宫殿 - 男性序列。

This paper concerns a nonlinear elliptic equation involving a critical Sobolev growth and a lower-order term. Under a Lions's condition, we prove the existence of at least one positive solution. Our approach consists in constructing a relatively compact Palais--Smale sequence for the associated variational problem.

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